Applied Regression Analysis and Experimental Design

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CRC Press, Apr 25, 1985 - Mathematics - 256 pages
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For a solid foundation of important statistical methods, this concise, single-source text unites linear regression with analysis of experiments and provides students with the practical understanding needed to apply theory in real data analysis problems. Stressing principles while keeping computational and theoretical details at a manageable level, Applied Regression Analysis and Experimental Design features an emphasis on vector geometry of least squares to unify and provide an intuitive basis for most topics covered ... abundant examples and exercises using real-life data sets clearly illustrating practical problems of data analysis ... essential exposure to Minitab and Genstat computer packages, including computer printouts ... and important background material such as vector and matrix properties and the distributional properties of quadratic forms. Designed to make theory work for students, this clearly written, easy-to-understand work serves as the ideal text for courses in Regression, Experimental Design, and Linear Models in a broad range of disciplines. Moreover, applied statisticians, biometricians, and research workers in applied statistics will find the book a useful reference for the general application of the linear model. Book jacket.
 

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Contents

Fitting a Model to Data
1
Goodness of Fit of the Model
30
Which Variables Should Be Included in the Model
56
4 Peculiarities of Observations
84
The Experimental Design Model
106
Assessing the Treatment Means
126
Blocking
153
Extensions to the Model
182
Appendix A Review of Vectors and Matrices
212
Appendix B Expectation Linear and Quadratic Forms
219
References
229
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